On the generalized Chaplygin integral
type: Item
instance of: scholarly article
title: On the generalized Chaplygin integral
zbMATH Open document ID: 1004.70006
published in: Regular and Chaotic Dynamics
publication date: 2002-05-28T00:00:00Z
full work available at URL: www.turpion.com
review text: The author considers the motion of a rotationally symmetric heavy rigid body in contact with a solid surface without sliding and obtains conditions for the existence of a Chaplygin-type integral. These conditions are valid, in particular, in the case of motion of a nonhomogeneous dynamically symmetric sphere along a perfectly rough plane and along an internal surface of a sphere.
Mathematics Subject Classification ID: 70E18
zbMATH DE Number: 1746545
zbMATH Keywords: generalized Chaplygin integral
zbMATH Keywords: rotationally symmetric heavy rigid body
zbMATH Keywords: dynamically symmetric sphere
zbMATH Keywords: perfectly rough plane
zbMATH Keywords: internal surface of sphere
author: A. S. Kuleshov
MaRDI profile type: Publication
DOI: 10.1070/RD2001V006N02ABEH000173
description: scientific article; zbMATH DE number 1746545